Reduction formula for point group D2

Your representation

E C2 (z) C2 (y) C2 (x)
48 0 0 0

can be reduced to

A B1 B2 B3
12 12 12 12

Substraction of translational and rotational contributions results in

A B1 B2 B3
12 10 10 10



Force field analysis

Infrared and Raman activities (harmonic approximation)
Method A B1 B2 B3
Infrared - + + +
Raman + + + +

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 42 42 12
quadratic 1764 903 243
cubic 74088 13244 3344
quartic 3111696 148995 37455
No. 1 : Total number of force constants .
No. 2 : Total number of force constants k.
No. 3 : Total number of nonvanishing force constants k.

Symmetry properties of force field parameters
Force field A B1 B2 B3
linear 12 10 10 10
quadratic 243 220 220 220
cubic 3344 3300 3300 3300
quartic 37455 37180 37180 37180

Number of independant internal coordinates 12

Literature




Character tables for chemically important point groups Character table for point group D2 Jacobs University Bremen